GCD of 427, 714, 704, 789 Calculator

Given Input numbers are 427, 714, 704, 789

In the factoring method, we have to find the divisors of all numbers

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (427, 714, 704, 789) = 1.

Given numbers are 427, 714, 704, 789

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 789 are 3 x 263

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 427, 714, 704, 789

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(427, 714) = 43554

GCD(427, 714) = ( 427 x 714 ) / 43554

= 427 / 714

= 427

Step2:

LCM(7, 704) = 4928

GCD(7, 704) = ( 7 x 704 ) / 4928

= 7 / 704

= 7

Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 427, 714, 704, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 571, 163, 248
• GCD of 224, 545, 985, 917
• GCD of 925, 869, 221, 184
• GCD of 707, 283, 174, 420
• GCD of 640, 121, 386, 270

Given numbers are 427, 714, 704, 789
The greatest common divisor of numbers 427, 714, 704, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 714, 704, 789 is 1.

1. What is the GCD of 427, 714, 704, 789?

GCD of given numbers 427, 714, 704, 789 is 1

2. How to calculate the greatest common divisor of 427, 714, 704, 789?

We can find the highest common divisor of 427, 714, 704, 789 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 427, 714, 704, 789 i.e 1.

3. How can I use the GCD of 427, 714, 704, 789Calculator?

Out the numbers 427, 714, 704, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.